A periodic problem of a semilinear pseudoparabolic equation
type: Item
instance of: scholarly article
title: A periodic problem of a semilinear pseudoparabolic equation
zbMATH Open document ID: 1252.35171
DOI: 10.1155/2011/363579
author: Yang Cao
author: Jingxue Yin
author: Chunhua Jin
published in: Abstract and Applied Analysis
publication date: 2012-01-16T00:00:00Z
review text: Summary: A class of periodic problems of pseudoparabolic type equations with nonlinear periodic sources are investigated. A rather complete classification of the exponent \(p\) is given, in terms of the existence and nonexistence of nontrivial and nonnegative periodic solutions.
Mathematics Subject Classification ID: 35K70
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35K58
zbMATH DE Number: 5997789
zbMATH Keywords: nonlinear periodic sources
Wikidata QID: Q58654169
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/363579
OpenAlex ID: W2137426287
cites work: Pseudoparabolic Partial Differential Equations
cites work: A global existence result for the equations describing unsaturated flow in porous media with dynamic capillary pressure
cites work: On a theory of heat conduction involving two temperature
cites work: Effect of aggregation on population recovery modeled by a forward-backward pseudoparabolic equation
cites work: Stable Patterns in a Viscous Diffusion Equation
cites work: Model equations for long waves in nonlinear dispersive systems
cites work: A Lewy-type reflection principle for pseudoparabolic equations
cites work: The Cauchy problem for an equation of Sobolev type with power non-linearity
cites work: The Riemann-Hilbert boundary value problem for semilinear pseudoparabolic equations
cites work: Initial-boundary value problems for a class of pseudoparabolic equations with integral boundary conditions
cites work: On the principal eigenvalue of a periodic-parabolic operator
cites work: On Periodic Solutions of Superlinear Parabolic Problems
cites work: A Remark on the Existence of Positive Periodic Solutions of Superlinear Parabolic Problems
cites work: On time periodic solutions of Dirichlet problem for degenerate parabolic equations of nondivergence type
cites work: Positive Unstable Periodic Solutions for Superlinear Parabolic Equations
cites work: Multiple equilibria, periodic solutions and a priori bounds for solutions in superlinear parabolic problems
cites work: Periodic solutions of a non-linear parabolic equation
cites work: Existence and Uniqueness for Periodic Solutions of the Benjamin–Bona–Mahony Equation
cites work: Q4253188
cites work: Periodic boundary value problem for nonlinear Sobolev-type equations
cites work: Q4164304
cites work: Q4150043
cites work: Q3165186
cites work: Sobolev regularization of a nonlinear ill-posed parabolic problem as a model for aggregating populations
cites work: Fourier Spectral Methods for Pseudoparabolic Equations
cites work: Q3921584
cites work: Cauchy problems of semilinear pseudo-parabolic equations
cites work: Uniqueness classes for pseudoparabolic equations with unbounded coefficients
cites work: Partial differential equations of Sobolev-Galpern type
cites work: A semilinear Sobolev evolution equation in a Banach space
cites work: General Boundary Value Problems for Differential Equations of Sobolev Type
cites work: Q5491528
cites work: Maximum principles for pseudoparabolic partial differential equations
cites work: Unique solvability of the Cauchy problem for certain quasilinear pseudoparabolic equations
cites work: Initial boundary value problem for generalized Boussinesq type equations with nonlinear source
cites work: On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
cites work: Q3958836
cites work: A priori estimates and continuation methods for positive solutions of \(p\)-Laplace equations.
cites work: Periodic solutions for degenerate diffusion equations
cites work: Symmetry and related properties via the maximum principle
cites work: A strong maximum principle for some quasilinear elliptic equations
cites work: Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities.
cites work: Periodic solutions of the evolutionary \(p\)-Laplacian with nonlinear sources
cites work: Existence and nonexistence results for m-Laplace equations involving critical Sobolev exponents
cites work: Existence and nonexistence of nontrivial solutions of some nonlinear degenerate elliptic equations
cites work: Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0
description: scientific article; zbMATH DE number 5997789